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Finding the Fourth Proportional to 3,239.40, 4,857.12 and 1,778.16

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Solution

The fourth proportional to 3,239.40, 4,857.12 and 1,778.16 is: 2,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.40 : 4,857.12 = 1,778.16 : x
  2. Step 2: Convert to fraction form
    3,239.40/4,857.12 = 1,778.16/x
  3. Step 3: Cross multiply
    3,239.40x = 4,857.12 × 1,778.16
  4. Step 4: Simplify right side
    3,239.40x = 8,636,736.50
  5. Step 5: Solve for x
    x = 8,636,736.50/3,239.40
  6. Step 6: Final answer
    x = 2,666.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.